Answer:
86.7
Step-by-step explanation:
2 x 10.2 x 4.25 = 86.7
To find the volume you need to multiply all these 3 values.
After multiplying it all that amount will be the answer.
The volume of the given dimensions is [tex]\(86.7\)[/tex] cubic units.
To find the volume, we multiply the three given dimensions together. The dimensions given are [tex]\(2\)[/tex], [tex]\(10 \frac{1}{5}\)[/tex], and [tex]\(4 \frac{1}{4}\)[/tex].
First, we need to convert the mixed numbers to improper fractions:
1. Convert [tex]\(10 \frac{1}{5}\)[/tex] to an improper fraction:
[tex]\[ 10 \frac{1}{5} = 10 + \frac{1}{5} = \frac{50}{5} + \frac{1}{5} = \frac{51}{5} \][/tex]
2. Convert [tex]\(4 \frac{1}{4}\)[/tex] to an improper fraction:
[tex]\[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \][/tex]
Next, multiply the three dimensions together.
First, convert the whole number [tex]\(2\)[/tex] to a fraction:
[tex]\[ 2 = \frac{2}{1} \][/tex]
Now, multiply the fractions:
[tex]\[ \frac{2}{1} \times \frac{51}{5} \times \frac{17}{4} \][/tex]
[tex]\[ \frac{2 \times 51}{1 \times 5} = \frac{102}{5} \][/tex]
[tex]\[ \frac{102 \times 17}{5 \times 4} = \frac{1734}{20} \][/tex]
[tex]\[ \frac{1734}{20} = 86.7 \][/tex]
Which of the following would be the best example of parallel lines in the real world?
O A. The lines formed on a windowpane
O B. A four-way stop at an intersection
O C. The northbound and southbound lanes on a straight highway
O D. A bridge extending over a river
C
Because their on a straight highway and the lines go up and down (north and south) and parallel lines is a set of straight lines
Final answer:
The northbound and southbound lanes on a straight highway are the best example of parallel lines, as they never intersect and stay equidistant from each other, fulfilling the criteria for parallelism in geometry which is the option c.
Explanation:
The best example of parallel lines in the real world would be C. The northbound and southbound lanes on a straight highway. In mathematics, parallel lines are two lines in the same plane that do not meet; they stay the same distance apart over their entire length. When we look at the northbound and southbound lanes on a straight highway, they are designed to be straight and run alongside each other without crossing, making them a practical example of parallel lines.
It is important to understand that parallel lines have several key features. They are always the same distance apart (equidistant), and they never intersect or cross each other. This principle is seen in the highway lanes, which must stay separate to facilitate traffic in opposite directions.
To contrast, other options like A. The lines formed on a windowpane may not necessarily be parallel, B. A four-way stop at an intersection involves intersecting lines, and D. A bridge extending over a river can be a single line or may curve, which does not fit the definition of parallel lines.
What is the image point of (-4,8) after a translation right 3 units and down 3 units ?
Answer:
(-1, 5)
Step-by-step explanation:
First, you move it to the right of y-axis from -4 to -1
Then, you move it to the down of x-axis from 8 to 5
so the answer was (-1, 5).
Answer: -9,-1
Step-by-step explanation:
Subtract 5 from x coordinate
Subtract 3 from y coordinate
You earn $4.75 per day for walking your neighbor’s dog.
How many days will it take you to earn enough money for admission to an amusement park that costs $46.75?
A. 9
B. 10
C. 11
D. 12
Divide the cost to get into the park by the amount you make per day:
46.75 / 4.75 = 9.84
Round up to 10 days.
The answer is B. 10
-2x(6xto the 4th -7xsquared +x-5) express your answer in standard form Multiply
Answer:
[tex]\large\boxed{-2x(6x^4-7x^2+x-5)=-12x^5+14x^3-2x^2+10x}[/tex]
Step-by-step explanation:
[tex]-2x(6x^4-7x^2+x-5)\qquad\text{use the distributive property}\\\\=(-2x)(6x^4)+(-2x)(-7x^2)+(-2x)(x)+(-2x)(-5)\\\\=-12x^5+14x^3-2x^2+10x[/tex]
complete the solution of the equation. find the value of y when x equals 20. -2x+4y=-4
Answer:
When x=20, y =9.
Step-by-step explanation:
Rewrite the equation into slope-intercept form.
4y=-4+2x
Divide by 4 to isolate y
y=-1+(2/4)x
y=(1/2)x -1
Then plug in 20 for x.
y=(1/2)(20)-1
y=10-1
y=9
You buy a total of 25 sweatshirts and hats for $172.50ypu pay $8.00 per sweatshirt and $2.50 per hat how many items do you buy
Answer:
im not sure but you can find the answer on math solver with steps
Step-by-step explanation:
Please need help on this
Answer:
284.37
Step-by-step explanation:
If you use the pythagorean theory, it's so much easier
The distance of the earth's horizon from point p is 284.372 miles.
Pythagoras TheoremIn a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides [tex]Hypotenuse^{2} = Perpendicular^{2} + Base^{2}[/tex]
How to find the distance between earth and point p?Here also we have a right angle triangle so to find the remaining side we use Pythagoras Theorem.
[tex]3959^{2} + x^{2} =(3959+10.2)^{2}[/tex]
[tex]3959^{2} + x^{2} = (3969.2)^{2}[/tex]
[tex]x^{2} = 80867.64[/tex]
x = 284.372 miles
Thus the distance of the earth's horizon from point p is 284.372 miles.
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The Newberg Tigers are having team shirts made. One option is to pay Reggie's Tees a $40 setup fee and then buy the shirts for $4 each. Another option is to go to City Printing, paying $20 for a setup fee and an additional $8 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. How many shirts is that?
The cost of purchasing team shirts from Reggie's Tees and City Printing is the same for 5 shirts. This is determined by setting up an algebraic equation and solving for the number of shirts where both costs are equal.
Explanation:The student has posed a problem involving algebra where they are comparing the costs of two options for purchasing team shirts.
To find out at which point the cost of buying team shirts from Reggie's Tees with a $40 setup fee and $4 per shirt is equal to the cost of buying from City Printing with a $20 setup fee and $8 per shirt, we can set up the following algebraic equation:
Let x represent the number of shirts.
Equation for Reggie's Tees: 40 (setup fee) + 4x (price per shirt)
Equation for City Printing: 20 (setup fee) + 8x (price per shirt)
To find the number of shirts for which the costs are the same, we set the two equations equal to each other:
40 + 4x = 20 + 8x
Solving further:
4x - 8x = 20 - 40
-4x = -20
x = (-20)/(-4)
x = 5
So, the cost for both options is the same when the team orders 5 shirts.
What is the area of medium pizza with 10 inches
Answer:
A: 25[tex]\pi[/tex]
Step-by-step explanation:
The area for a circle is:
A = [PI*d^2] / 4
Then
A = (25/2)*[tex]\pi[/tex]
Best regards
write an example of constant polynomial
One example of constant polynomial is q(x) = 7.
Step-by-step explanation:A constant polynomial is the same thing as a constant function. That is, a
constant polynomial is a function of the form
p(x) = c
In other words a polynomial P(x) that, when evaluated over each x in the domain of definition, results in the same value. The simplest example is P(x)=c for x in R and c a constant.
I WILL GIVE BRAINLIEST AND ALL OF MY POINTS PLEASE I NEED THIS ASAP
Cross out out comes that should happen. The others are evidence based, the one you cross out was theory based
solving systems of Equations Word Problems - CLASSWORK
1. To rent scooters, Sam's Scooters charges a $30 fee plus $8 per hour. Rosie's charges a $20 fee
plus $10 per hour.
Independent variable (x):
Dependent variable (y):
System of equations:
Points on the graph:
QUESTIONS.
A. when does it make more sense to rent a scooter from Rosie's? How do you know?
B. when does it make more sense to rent a scooter from Sam's? How do you know?
C. Is there ever a time where it wouldn't matter which store to choose? Explain.
D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours? show your work.
Answer:
Part A) For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's
Part B) For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's
Part C) Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters
Part D) The cost is $90
Step-by-step explanation:
Let
x-------> the number of hours (independent variable)
y-----> the total cost of rent scooters (dependent variable)
we know that
Sam's scooters
[tex]y=8x+30[/tex]
Rosie's scooters
[tex]y=10x+20[/tex]
using a graphing tool
see the attached figure
A. when does it make more sense to rent a scooter from Rosie's? How do you know?
For the number of hours less than 5 hours it make more sense to rent a scooter from Rosie's (see the attached figure) because the cost in less than Sam' scooters
B. when does it make more sense to rent a scooter from Sam's? How do you know?
For the number of hours greater than 5 hours it make more sense to rent a scooter from Sam's (see the attached figure) because the cost in less than Rosie' scooters
C. Is there ever a time where it wouldn't matter which store to choose?
Yes, for the number of hours equal to 5 the cost of Sam'scooters is equal to the cost of Rosie's scooters. The cost is $70 (see the graph)
D. If you were renting a scooter from Rosie's, how much would you pay if you were planning on renting for 7 hours?
Rosie's scooters
[tex]y=10x+20[/tex]
For x=7 hours
substitute
[tex]y=10(7)+20=90[/tex]
The cost is $90
When renting a scooter, the independent variable is the number of hours rented, and the dependent variable is the total cost. Renting from Rosie's is cheaper after 10 hours, while renting from Sam's is cheaper for fewer than 10 hours. There is no cost difference at exactly 10 hours, and renting from Rosie's for 7 hours would cost $90.
To solve systems of equations word problems involving rental costs for scooters from two different companies, we must first establish a system of equations to represent each company's pricing structure. For Sam's Scooters, the equation is y = 30 + 8x, where y is the total cost to rent a scooter and x is the number of hours the scooter is rented. For Rosie's, the equation is y = 20 + 10x.
The independent variable (x) is the number of hours the scooter is rented, and the dependent variable (y) is the total cost of the rental.
Questions:
Renting from Rosie's makes more sense when the cost at Rosie's (y = 20 + 10x) is less than the cost at Sam's (y = 30 + 8x). This happens when x > 10, which means after renting for more than 10 hours.Renting from Sam's makes more sense when x < 10, renting for fewer than 10 hours.There is a time where it wouldn't matter which store you choose, and that is exactly at 10 hours, at which both stores would charge the same.If you were renting a scooter from Rosie's for 7 hours, the total cost would be y = 20 + 10(7) = 20 + 70 = $90.
If p x 5/6 = 4, what is p
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷P*5/6=4
First, you need to multiply each side by 6/5 to get ride of the 5/6:
p=24/5
Final answer:
p=24/5
✽
➶ Hope This Helps You!
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➶ Have A Great Day ^-^
TROLLER
which expression is equal to -33 when x= -5
Answer:
Many expressions would satisfy this set. One example would be y = 7x + 2
Step-by-step explanation:
To find this, give x a random coefficient, for this purpose, we'll use 7.
y = 7x + c
Now plug in and solve to get the constant.
-33 = 7(-5) + c
-33 = -35 + c
2 = c
Now model the equation.
y = 7x + 2
Can someone help me with this graph goes down to -10
Answer:
(5,7)
Step-by-step explanation:
x + 2 = 2x - 3
2x - x = 5
x = 5
When X = 5, Y= 7
Best regards
If 2/5 x h = 3, what is H
Answer:
h = 7 1/2
Step-by-step explanation:
2/5 h = 3
Multiply each side by 5/2 to isolate h
5/2 * 2/5 h = 5/2 *3
h = 15/2
h = 7 1/2
Transversal:
Find the value of x on the attached diagram.
Answer:
x = 10
Step-by-step explanation:
We are given a diagram with lines AB and CD intersected by a line EH.
Given that the lines AB and CD are parallel, we are to find the value of x.
Since the lines are parallel so the angles are interior alternate angles and are equal to each other.
Therefore, we can write it as:
[tex] ( 3 x + 15 ) = ( 5 x - 5 ) [/tex]
[tex] 5 x - 3 x = 15 + 5 [/tex]
[tex] 2 x = 20 [/tex]
[tex] x = \frac { 20 } { 2 } [/tex]
x = 10
Answer:
The value of x = 10
Step-by-step explanation:
From the figure we can see that, AB║CD
And HE is a traversal. Two angles are given. These angles area alternate interior angles which are equal
To find the value of x
Two alternate interior angles are
(3x + 15)° and (5x - 5)°
(3x + 15) = (5x - 5)
5x - 3x 15 + 5
2x = 20
x = 20/2 = 10
Therefore the value of x = 10
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet and the area of the triangle is 12 square feet, which equation models this situation ?
A.) 5x^2 - 2x - 12 = 0
B.) 5x^2 - 2x - 6 = 0
C.) 5x^2 - 2x - 24 = 0
D.) 25x^2 - 10x - 24 = 0
Answer:
the answer is a
Step-by-step explanation:
Square root of 2y+3=11 what’s the value of y in this equation
Answer:
y = 32
Step-by-step explanation:
For the given expression √(2y+3) =11, the value of y in this equation is 59.
The given expression is,
√(2y+3) =11
Take square both sides of the equation to eliminate the square root.
This gives us:
(√(2y+3))² = 11²
Simplifying the left side, we have:
2y + 3 = 121
Next, Subtract 3 from both sides to isolate the 2y term:
2y + 3 - 3 = 121 - 3
2y = 118
Finally, Divide both sides by 2 to solve for y:
y = 59
Therefore, the value of y in this equation is 59.
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5 = 1/5 x -3 =
Please help
Answer:
x = 40
Step-by-step explanation:
Solve the equation using inverse operations.
5 = 1/5x - 3 Add 3 to both sides
8 = 1/5x Multiply by 5 on both sides
40 = x
the img has the info
Answer:
56°
Step-by-step explanation:
Because the two lines are parallel, the corresponding angles are equal. The two corresponding ∠s are ∠A and ∠B. ∠A=∠B
∠A=4x
∠B=2(x+14)
4x = 2 (x+14)
the right side requires the distributive property
a) 4x = 2x+28
2x = 28
x = 14
b) now plug in x for both ∠s to find ∠A and ∠B
∠A = 4x = 4(14) = 56°
∠B = 2(x+14) = 2(14+14) = 2(28) = 56°
I just did both angles to show that they are equal and it is a way to check your work
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
A. x=-3
B. x=3
C. x=9
D. x=11
(Could you also show it step by step please?)
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)
m = [tex]\frac{-6-1}{x-4}[/tex] = 1
m = [tex]\frac{-7}{x-4}[/tex] = 1 ( cross- multiply )
x - 4 = - 7 ( add 4 to both sides )
x = - 3 → A
The value of 'x' is -3 and this can be determined by using the two point slope formula and also by using the given data.
Given :
The points (4, 1) and (x, -6) lie on the same line.The slope of the line is 1.When two points are given then to determine the slope of the given line below formula can be used:
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the same line.
Now, substitute the value of slope m and points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above equation in order to determine the value of 'x'.
[tex]\rm 1 = \dfrac{-6-1}{x-4}[/tex]
x - 4 = -7
x = -3
So, the value of x is -3.
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which expression is the simplest form of -(3x+y)+2x-4y)?
Answer:
C) - x - 9y.Step-by-step explanation:
Given : -(3x+y)+2(x-4y).
To find : which expression is the simplest form .
Solution : We have given
-(3x+y)+2(x-4y).
Remove parenthesis
-3x -y + 2x -8y .
Combine like terms
-3x + 2x -y - 8y .
-x -9y.
Therefore, C) - x - 9y.What would be the sum of the lengths of the first and second diagonals rounded to the nearest whole number?
Answer:
16.17684994
Step-by-step explanation:
First diagonal
x^2 = a^2 + b^2
x^2 = 5^2 + 6^2
x^2 = 61
x ≈ 7.810249676
Second diagonal
x^2 = a^2 + b^2
x^2 = 7.810249676^2 + 3^2
x^2 = 70
x ≈ 8.366600265
Sum of both diagonals
8.366600265 + 7.810249676
= 16.17684994
Answer:
16
Step-by-step explanation:
i just know
Solve the absolute value equation |2x-1|=3
x=2
sorry for the bad handwriting btw.
Answer:
The solution for the absolute value equation is [tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex].
Step-by-step explanation:
Consider the provided absolute value equation.
[tex]|2x-1|=3[/tex]
[tex]\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a[/tex]
By using the above rule.
[tex]2x-1=-3\quad \mathrm{or}\quad \:2x-1=3[/tex]
[tex]2x=-3+1\quad \mathrm{or}\quad \:2x=3+1[/tex]
[tex]2x=-2\quad \mathrm{or}\quad \:2x=4[/tex]
[tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex]
Hence the combine solution is [tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex]
julian currently has a balance of -$10.48 in his checking account. His bank requires him to maintain minimum balance of $20.
He should put in $30.48 to reach the minimum.
Hope this helps.
Jillian is sorting the food for the camping trip. She has a total of 19.5 lbs of GORP and needs to divide them into 2.75 lb bags. She therefore divides 19.5 by 2.75 and gets 7.09. What does the .09 mean?
A)She will have 9 bags of GORP.
B)She will have 1.9 bags of GORP.
C)She will have 7 lbs of GORP left over.
D)She will have .09 lbs of GORP left over.
Answer:
D
Step-by-step explanation:
She will have 0.09 lbs of GORP left over.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total of 19.5 lbs of GORP
She needs to divide them into 2.75 lb
So,
=19.5/2.75
=7.09
Here, 0.09 means She will have 0.09 lbs of GORP left over.
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The base of a square pyramid has a side of 12 m. The slant height of a pyramid is 8 m. Find the lateral area of the pyramid.
Options are in image...
Answer:
Option A. [tex]192\ m^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of the square pyramid is equal to the area of its four triangular faces
so
[tex]LA=4[\frac{1}{2}(12)(8)]=192\ m^{2}[/tex]
You roll a fair 6 sided die what is p (roll greater than 4)
Answer:
1/3 0r 33%
Step-by-step explanation:
P(roll greater than 4) is 1/3.
What is probability ?
If we take the ratio of number of favourable outcomes to the number of all possible outcomes of an event, then this ratio is called probability.
What is the required probability ?We roll a fair 6 sided die.
All the possible outcomes are (S) = {1, 2, 3, 4, 5, 6}
Number of all possible outcomes = n(S) = 6
Numbers greater than 4 are {5, 6}
So, n(roll greater than 4) = 2
∴ P(roll greater than 4) = n(roll greater than 4)/n(S)
= 2/6 = 1/3
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What is the rule for the sequence corresponding to this series? –4 + –7 + –10 + –13
Answer:
The rule or the sequence is : an = -3n - 1
Step-by-step explanation:
* Lets look to the terms of the sequence
-4 , -7 , -10 , -13
- The difference between each two consecutive terms is:
-7 - -4 = -3 , -10 - -7 = -3 . -13 - -10 = -3
∴ It is an arithmetic sequence
* because we add a constant value to each term to find the second term
- That means a1 = a , a2 = a + d , a3 = a + 2d , ............
* The rule of any term of the arithmetic sequence is;
- an = a + (n - 1) d , where a is the first term , d is the constant
difference and n is the position of the number in the sequence
∵ a = -4 and d = -3
∴ The rule of any term in this sequence is:
* an = -4 + (n - 1)(-3)
* Lets simplify the formula
∴ an = -4 + -3n + 3
∴ an = -3n - 1
* The rule or the sequence is : an = -3n - 1
Answer:
its B on edge 2020
Step-by-step explanation: